If m + 1/m = 6, find the value of m² + 1/m²

Question

Accepted Answer

1. Square the given relation: if $m+\frac{1}{m}=6$, then

2. $\left(m+\frac{1}{m}\right)^2= m^2+2+\frac{1}{m^2}=36$.

3. Subtract 2 to get $m^2+\frac{1}{m^2}=36-2=34$.

FINAL_ANSWER: c

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Answer

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